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Finding the Fourth Proportional to 231.38, 347.21 and 154.43

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Solution

The fourth proportional to 231.38, 347.21 and 154.43 is: 231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.38 : 347.21 = 154.43 : x
  2. Step 2: Convert to fraction form
    231.38/347.21 = 154.43/x
  3. Step 3: Cross multiply
    231.38x = 347.21 × 154.43
  4. Step 4: Simplify right side
    231.38x = 53,617.13
  5. Step 5: Solve for x
    x = 53,617.13/231.38
  6. Step 6: Final answer
    x = 231.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.